STAT 200 Final ExaminationFall 2016 OL1/US1Page 9 of 9 STAT 200 Introduction to Statistics Name______________________________ Final Examination: Fall 2016 OL1/US1 Instructor __________________________ Answer Sheet Instructions: This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. Record your answers and work in this document. Answer all 20 questions. Make sure your answers are as complete as possible. Show all of your work and reasoning. In particular, when there are calculations involved, you must show how you come up with your answers with critical work and/or necessary tables. Answers that come straight from calculators, programs or software packages without explanation will not be accepted. If you need to use technology to aid in your calculation, you have to cite the source and explain how you get the results. For example, state the Excel function along with the required parameters when using Excel; describe the detailed steps when using a hand-held calculator; or provide the URL and detailed steps when using an online calculator, and so on. Show all supporting work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. It is a violation of the UMUC Academic Dishonesty and Plagiarism policy to use unauthorized materials or work from others. Your exam will receive a zero grade unless you complete the following honor statement. Please sign (or type) your name below the following honor statement: I understand that it is a violation of the UMUC Academic Dishonesty and Plagiarism policy to use unauthorized materials or work from others. I promise that I did not discuss any aspect of this exam with anyone other than my instructor. I further promise that I neither gave nor received any unauthorized assistance on this exam, and that the work presented herein is entirely my own. Name _____________________Date___________________ Record your answers and work. Problem Number Solution 1 Answer: (a) (b) (c) (d) (e) Justification: 2 Answer: (a) (b) (c) Justification: 3 Answer: (a) (b) Justification: 4 Answer: (a) IQ Scores Frequency Relative Frequency 50 - 69 23 70 - 89 249 90 -109 0.450 110 - 129 130 - 149 25 Total 1000 (b) (c) Work for (a) and (b): 5 Answer: (a) (b) (c) Justification: 6 Answer: (a) (b) Work for (a) and (b): 7 Answer: (a) (b) Work for (b): 8 Answer: (.

1. STAT 200 Final ExaminationFall 2016 OL1/US1Page 9 of 9
STAT 200 Introduction to Statistics
Name______________________________
Final Examination: Fall 2016 OL1/US1 Instructor
__________________________
Answer Sheet
Instructions:
This is an open-book exam. You may refer to your text and
other course materials as you work on the exam, and you may
use a calculator.
Record your answers and work in this document.
Answer all 20 questions. Make sure your answers are as
complete as possible. Show all of your work and reasoning. In
particular, when there are calculations involved, you must show
how you come up with your answers with critical work and/or
necessary tables. Answers that come straight from calculators,
programs or software packages without explanation will not be
accepted. If you need to use technology to aid in your
calculation, you have to cite the source and explain how you get
the results. For example, state the Excel function along with the
required parameters when using Excel; describe the detailed
steps when using a hand-held calculator; or provide the URL
and detailed steps when using an online calculator, and so on.
Show all supporting work and write all answers in the spaces
allotted on the following pages. You may type your work using
plain-text formatting or an equation editor, or you may hand-
write your work and scan it. In either case, show work neatly
and correctly, following standard mathematical conventions.
Each step should follow clearly and completely from the
previous step. If necessary, you may attach extra pages.
You must complete the exam individually. Neither
collaboration nor consultation with others is allowed. It is a
violation of the UMUC Academic Dishonesty and Plagiarism
policy to use unauthorized materials or work from others. Your

2. exam will receive a zero grade unless you complete the
following honor statement.
Please sign (or type) your name below the following honor
statement:
I understand that it is a violation of the UMUC Academic
Dishonesty and Plagiarism policy to use unauthorized materials
or work from others. I promise that I did not discuss any aspect
of this exam with anyone other than my instructor. I further
promise that I neither gave nor received any unauthorized
assistance on this exam, and that the work presented herein is
entirely my own.
Name _____________________Date___________________
Record your answers and work.
Problem Number
Solution
1
Answer:
(a)
(b)

3. (c)
(d)
(e)
Justification:
2
Answer:
(a)
(b)
(c)

4. Justification:
3
Answer:
(a)
(b)
Justification:

5. 4
Answer:
(a)
IQ Scores
Frequency
Relative Frequency
50 - 69
23
70 - 89
249
90 -109
0.450
110 - 129
130 - 149

6. 25
Total
1000
(b)
(c)
Work for (a) and (b):
5
Answer:
(a)
(b)

7. (c)
Justification:
6
Answer:
(a)
(b)
Work for (a) and (b):

8. 7
Answer:
(a)
(b)
Work for (b):
8
Answer:
(a)
(b)
Work for (a) and (b):

9. 9
Answer:
(a)
(b)
Work for (a) and (b):

10. 10
Answer:
Work:
11
Answer:
(a)
(b)

11. Work for (b) :
12
Answer:
(a)
(b)
Work for (a) and (b):

12. 13
Answer:
(a)
(b)
Work for (a) and (b):
14
Answer:
Work:

13. 15
Answer:
Work:
16
Answer:

14. (a)
(b)
(c)
(d)
Work for (b) and (c):
17
Answer:
(a)

15. (b)
(c)
(d)
Work for (b) and (c):
18
Answers:
(a)

16. (b)
(c)
(d).
Work for (b) and (c):
19
Answer:
(a)

17. (b)
(c)
(d)
Work for (b) and (c):
20
Answer:
(a)
(b)

18. Work for (a) and (b):
STAT 200: Introduction to Statistics Final Examination, Fall
2016 OL1/US1 Page 1 of 8

19. STAT 200
OL1/US1 Sections
Final Exam
Fall 2016
The final exam will be posted at 12:01 am on October 14, and it
is
due at 11:59 pm on October 16, 2016. Eastern Time is our
reference time.
This is an open-book exam. You may refer to your text and
other course materials
as you work on the exam, and you may use a calculator. You
must complete the

20. exam individually. Neither collaboration nor consultation with
others is allowed.
It is a violation of the UMUC Academic Dishonesty and
Plagiarism policy to use
unauthorized materials or work from others.
Answer all 20 questions. Make sure your answers are as
complete as possible.
Show all of your supporting work and reasoning. Answers that
come straight
from calculators, programs or software packages without any
explanation will not
be accepted. If you need to use technology (for example, Excel,
online or hand-
held calculators, statistical packages) to aid in your calculation,
you must cite the
sources and explain how you get the results.

21. Record your answers and work on the separate answer sheet
provided.
This exam has 100 total points; 5 points for each question.
You must include the Honor Pledge on the title page of your
submitted final exam.
Exams submitted without the Honor Pledge will not be
accepted.
STAT 200: Introduction to Statistics Final Examination, Fall
2016 OL1/US1 Page 2 of 8
1. True or False. Justify for full credit.

22. (a) A is an event, and Ac is the complement of A, then P(A OR
Ac ) = 0.
(b) If the variance of a data set is 0, then all the observations in
this data set must be identical.
(c) If a 95% confidence interval for a population mean contains
1, then the 99% confidence
interval for the same parameter must contain 1
(d) When plotted on the same graph, a distribution with a mean
of 60 and a standard deviation
of 5 will look more spread out than a distribution with a mean
of 40 and standard deviation
of 8.
(e) In a right-tailed test, the value of the test statistic is 2. The
test statistic follows a
distribution with the distribution curve shown below. If we

23. know the shaded area is 0.03,
then we have sufficient evidence to reject the null hypothesis at
0.05 level of significance.
2. Choose the best answer. Justify for full credit.
(a) A study was conducted at a local college to analyze the
average GPA of students graduated
from UMUC in 2015. 100 students graduated from UMUC in
2015 were randomly selected,
and the average GPA for the group is 3.5. The value 3.5 is a
(i) statistic
(ii) parameter
(iii) cannot be determined

24. (b) The hotel ratings are usually on a scale from 0 star to 5
stars. The level of this measurement is
(i) interval
(ii) nominal
(iii) ordinal
(iv) ratio
(c) In a career readiness research, 100 students were randomly
selected from the psychology
program, 150 students were randomly selected from the
communications program, and 120
students were randomly selected from cyber security program.
This type of sampling is called:
(i) cluster

25. STAT 200: Introduction to Statistics Final Examination, Fall
2016 OL1/US1 Page 3 of 8
(ii) convenience
(iii) systematic
(iv) stratified
3. Choose the best answer. Justify for full credit.
(a) A study of 10 different weight loss programs involved 500
subjects. Each of the 10 programs
had 50 subjects in it. The subjects were followed for 12 months.
Weight change for each
subject was recorded. You want to test the claim that the mean
weight loss is the same for the
10 programs. What statistical approach should be used?

26. (i) t-test
(ii) linear regression
(iii) ANOVA
(iv) confidence interval
(b) A STAT 200 instructor teaches two classes. She wants to
test if the variances of the score
distribution for the two classes are different. What type of
hypothesis test should she use?
(i) t-test for two independent samples
(ii) t-test for matched samples
(iii) z-test for two samples
(iv) F- test
4. The frequency distribution below shows the distribution for

27. IQ scores for a random sample of
1000 adults. (Show all work. Just the answer, without
supporting work, will receive no credit.)
IQ Scores Frequency Relative Frequency
50 - 69 23
70 - 89 249
90 -109 0.450
110 - 129
130 - 149 25
Total 1000

28. (a) Complete the frequency table with frequency and relative
frequency. Express the relative
frequency to three decimal places.
(b) What percentage of the adults in this sample has an IQ score
of at least 110?
(c) Does this distribution have positive skew or negative skew?
Why or why not?
STAT 200: Introduction to Statistics Final Examination, Fall
2016 OL1/US1 Page 4 of 8
5. The five-number summary below shows the grade distribution
of a STAT 200 quiz for a
sample of 500 students.

29. Answer each question based on the given information, and
explain your answer in each case.
(a) What is the interquartile range in the grade distribution?
(b) Which score band has the most students?
(i) 20 - 60
(ii) 60 - 85
(iii) 80 - 100
(Iv) Cannot be determined
(c) How many students are in the score band between 60 and
70?

30. 6. Consider selecting one card at a time from a 52-card deck.
What is the probability that the first
card is an ace and the second card is also an ace? (Note: There
are 4 aces in a deck of cards)
(Show all work. Just the answer, without supporting work, will
receive no credit.)
(a) Assuming the card selection is without replacement.
(b) Assuming the card selection is with replacement.
7. There are 1000 students in a high school. Among the 1000
students, 350 students take AP
Statistics, and 300 students take AP French. 100 students take
both AP courses. Let S be the
event that a randomly selected student takes AP Statistics, and F
be the event that a randomly

31. selected student takes AP French. Show all work. Just the
answer, without supporting work,
will receive no credit.
(a) Provide a written description of the complement event of (S
OR F).
(b) What is the probability of complement event of (S OR F)?
STAT 200: Introduction to Statistics Final Examination, Fall
2016 OL1/US1 Page 5 of 8
8. Consider rolling a fair 6-faced die twice. Let A be the event
that the sum of the two rolls is at
least 10, and B be the event that the first one is a multiple of 3.

32. (a) What is the probability that the sum of the two rolls is at
least 10 given that the first one is a
multiple of 3? Show all work. Just the answer, without
supporting work, will receive no credit.
(b) Are event A and event B independent? Explain.
9. Answer the following two questions. (Show all work. Just
the answer, without supporting
work, will receive no credit).
(a) The steering committee of UMUC Green